Lee, Tim and Pentcho,
The trouble with physics is not so much the volume of the mathematics that we have. The trouble is mainly the application and the interpretation of the mathematics.
The troublesome application is that regarding the arbitrary transformations that Einstein proponed based on the Lorentz transformation equations. Einstein actually proponed the following three transformation equations in special relativity:
(1) the space transformation equation
x=x'(1-v2/c2)-½
(2) the time transformation equation
t=t'(1-v2/c2)-½
(3) the mass-energy transformation equation
m=m'(1-v2/c2)-½
In (1) the space transformation equation, the transformation factor is applied to the essence of space as implied by the space variables x and x'. Here Einstein made space a medium of motion.
After discarding the ether medium of motion, Einstein tacitly proposed other mediums of motion, because as per the erroneously interpreted Michaelson and Morley experiments, no motion can be ascribed to the ether. It is obvious that the Michaelson and Morley experiments were erroneously conducted and interpreted because the experiments did not and probably could not account for the doppler shifts.
In (2) the time transformation equation, the transformation factor is applied to the essence of time as implied by the time variables t and t'. Einstein made time another medium of motion; this ignored the fact that the duration process that occurs in time is NOT a motion process. The motion process occurs only in space, with infinitely many varied rates of displacements expressed as distance per unit time.
It is incorrect to apply the transformation factor to the essence of time because the transformation factor indicates only velocity or motion transformations and there is no such thing as the velocity of time - the duration process occurs as a 'displacement' through the time dimension strictly at the 'universal' rate of one moment per moment.
In (3) the mass-energy transformation equation, the transformation factor is applied to the concept of mass (and energy) as implied by the mass variables m and m' and the resultant entry of the kinetic energy variable in the famed K.E.=mc2.
In the mass-energy transformation, Einstein apparently did not know what medium of motion was involved and did not understand the foundational reason why he substituted the mass variables into the equations. But he saw the connection with the classical K.E. and made a momentous interpretation regarding mass and energy.
Einstein must have somehow understood that the medium of motion need necessarily be ascribed some motion for it to be an appropriate medium of motion. This is implied by the reason he gave as to why he discarded the idea of the ether. But because Einstein discarded the idea of an ethereal space-occupying medium of motion, he also discarded the idea of space whose sole function is that it gets occupied.
Pure kinematics points to the idea of the motions of motions, which is the reason why the medium of motion must be ascribed some motion in order for it to be an appropriate medium of motion.
The idea of a space-occupying substance as the medium of motion is still the more appropriate idea because motion is the displacement through space. When this idea is embraced, the space and time dimensions may simply be 'fixed' (assumed as absolutes) as the classics did.
The picture then presented is that of the transformations of motion rendered on the space-occupying medium of motion, according to the accelerations and rotations indicated by the transformation factor. The space-occupying medium of motion can then even be spoken of as ethereal, because then the focus will only be on the motions of motions (i.e., the various configurations, formations and transformations) suggested by pure kinematics.
The velocity of light is then simply the reference velocity for what is observable in nature, which is exactly in accordance with Maxwell's proponed variety in the electromagnetic phenomena and the experimentally verified unvarying velocity of light.
As I have explained in my post above, the cosmos is observed "with its full spectrum that range between the kinematic vacuums of dark voids and the kinematic singularities of super dense black holes"; and that range includes the electromagnetic spectra and the particulate spectra.
These are according to the proposition from the mass-energy transformation (3), which is actually the more practically successful proposition; nothing has so far been practically proven regarding the space-time transformations.
This rather radical view presents a cosmos that is observable as having strictly the varied motion formations and transformations.
All these are in consonance with my post above, my submitted essay, and the materials at my website www.kinematicrelativity.com.
The new perspectives that I am presenting could correct and resolve "the trouble with physics" that involves the application and interpretation of the mathematics. But it is sad that, as far as I know, I still remain very much alone in these views.